1. ## closed integral

evaluate integral counterclockwise around the triangle with vertices (0,0) (1,0) and (0,1)

2. ## Re: closed integral

What have you tried so far?

3. ## Re: closed integral

i have tried using the area of region (0, 0) (0,1) (1,0) and multiplying this with the equation under the closed integral

ie is integrate(f.da) gauss theorem

4. ## Re: closed integral

Originally Posted by prasum
i have tried using the area of region (0, 0) (0,1) (1,0) and multiplying this with the equation under the closed integral
ie is integrate(f.da) gauss theorem
Using the Green's theorem, $\int_C(x-y)dx+(x+y)dy=\iint_D(1+1)\;dxdy=2A$ where $A$ is the area of the triangle.